Question

A snowmobile moves according to the velocity-time graph shown in the drawing. What is the snowmobile's average acceleration during (a) segment A, (b) segment B, and (c) segment C?

Answer 1

Answer:

(a). The average acceleration during segment A is 2 m/s²

(b). The average acceleration during segment B is zero.

(c). The average acceleration during segment C is 4 m/s².

Explanation:

Given that,

A snowmobile moves according to the velocity-time graph ,

(a), We need to calculate the average acceleration during segment A

Using formula of average acceleration

$a=\dfrac{v_{f}-v_{i}}{t_{2}-t_{1}}$

Where, $v_{i}$ = initial velocity

$v_{f}$ =final velocity

$t_{i}$ = initial time

$t_{f}$ =final time

Put the value into the formula

$a=\dfrac{40-0}{20-0}$

$a=2\ m/s^2$

(b). We need to calculate the average acceleration during segment B

Using formula of average acceleration

$a=\dfrac{v_{f}-v_{i}}{t_{2}-t_{1}}$

Put the value into the formula

$a=\dfrac{40-40}{50-20}$

$a=0\ m/s^2$

(c). We need to calculate the average acceleration during segment C

Using formula of average acceleration

$a=\dfrac{v_{f}-v_{i}}{t_{2}-t_{1}}$

Put the value into the formula

$a=\dfrac{80-40}{60-50}$

$a=4\ m/s^2$

Hence, (a). The average acceleration during segment A is 2 m/s²

(b). The average acceleration during segment B is zero.

(c). The average acceleration during segment C is 4 m/s².